Solve with detailed explanation please

201-NYB Calculus II Assignment 7 1. Find the arc length of the following curves. (a) y = 6Vx2 + 1, from A(-1,7) to B(-8, 25) (b) a = 1 16 + 272 ' from A(1, ) to B (2, 240) (c) y = va - x2 + sin 1(Vx) 2. Set up, but do not evaluate, the volume of the solids generated by rotating the regions bounded by y = Vx - 2, the x- and y-axes about the following lines using both the washer / disc and cylindrical shell methods. Provide a sketch of the region, a washer / disc or a cylinder for each case and indicate the dimensions needed for the set up. Simplify the integrands. (a) The x-axis. (b) y = 2 3. Set up, but do not evaluate, the volume of the solids generated by rotating the regions bounded by y = Vx-1+1, y =8 - x and y = 1 about the following lines using both the washer / disc and cylindrical shell methods. Provide a sketch of the region, a washer / disc or a cylinder for each case and indicate the dimensions needed for the set up. Simplify the integrands. (a) The y-axis. (b) x =-1